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number > mathematical constant > Prouhet-Thue-Morse constant

number > transcendental number > Prouhet-Thue-Morse constant

number > number theory > Prouhet-Thue-Morse constant

Terme préférentiel

Prouhet-Thue-Morse constant

Définition(s)

In mathematics, the Prouhet–Thue–Morse constant, named for Eugène Prouhet, Axel Thue, and Marston Morse, is the number—denoted by $τ$ —whose binary expansion 0.01101001100101101001011001101001... is given by the Prouhet–Thue–Morse sequence. That is,

${\\displaystyle \ au =\\sum _{n=0}^{\\infty }{\ rac {t_{n}}{2^{n+1}}}=0.412454033640\\ldots }$

where $t n$ is the $n th$ element of the Prouhet–Thue–Morse sequence.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Prouhet%E2%80%93Thue%E2%80%93Morse_constant)

Concept(s) générique(s)

Traductions

constante de Prouhet-Thue-Morse

français

URI

http://data.loterre.fr/ark:/67375/PSR-JG72VR41-K

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RDF/XML TURTLE JSON-LD Date de création 03/08/2023, dernière modif. 24/08/2023